Approximate the binomial distribution


A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot explain why.

A survey of adults found that 62% have used a multivitamin in the past 12 months. You randomly select 40 adults and ask them if they have used a multivitamin in the past 12 months.

Select the correct answer below and, if necessary, fill in the answer boxes within your choice.

a) no, because np<5.

b) no because nq<5

c) yes, the mean is ___ and the standard deviation is ___. Round to two decimal places as needed.

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Basic Statistics: Approximate the binomial distribution
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